SOLUTION: A and B can do a job in 6 days. If A does the job alone he takes 10 days. What will be the time required by B to complete the job alone?

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Question 868887: A and B can do a job in 6 days. If A does the job alone he takes 10 days. What will be the time required by B to complete the job alone?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x = time it takes for A to do the job alone
y = time it takes for B to do the job alone
z = time it takes for them to get the job done when they work together. This is assuming that one person doesn't slow the other down and they work in the most efficient way as a team.


When we make those definitions above, it turns out that we can tie x,y,z together with this equation

1%2Fx+%2B+1%2Fy+=+1%2Fz


In this case,


x = 10
y = unknown (leave it as y for now)
z = 6


Plug those into the equation and solve for y


1%2Fx+%2B+1%2Fy+=+1%2Fz


1%2F10+%2B+1%2Fy+=+1%2F6


1%2Fy+=+1%2F6-1%2F10


1%2Fy+=+10%2F60-6%2F60


1%2Fy+=+4%2F60


1%2Fy+=+1%2F15


y+=+15


So it will take 15 days for B to do the job alone.